ROCK AROUND THE CLOCK
Have you tried this Mathline probability lesson? If not, you may want to give it a try  "Rock Around the Clock" is a great activity for your middle school math students!
Overview In this lesson, students are presented with a contest situation: in packs of gum, there are photographs of six different rock stars. The first person to collect all six pictures, AND take them to the radio station that is sponsoring the contest, will win an allexpensepaid trip to any location in the US. The Question The question posed to the students is this  "What is a reasonable number of packs of gum you should purchase in order to collect all six pictures?" This question is discussed as a class....to think about the fewest number of packs possible, but also to consider how many packs would be reasonable.
Simulating the Contest
The students are put into groups and each group is given materials to simulate the contest. I have used this lesson twice; once I used dice and once I used colored disks (on which I wrote the rock stars' names). When using the dice, students simply roll the die and then record the number that was rolled (each rock star would need to be assigned a number). When using the disks, the students picked a disk from a cup, recorded the star that was chosen, and then returned the disk to the cup. The lesson suggests that each student complete their own trial; I had the groups complete two trials together rather than each student completing their own. I also had all groups use the same materials  the dice one year and the disks another (the lesson plan suggests that the students use dice, spinners, OR disks for their trials and that the lesson then include a discussion about the possible differences in results based on the method used....I did not address this part, but it is definitely an option, especially if you have a longer math period).
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Remove One is one of my favorite games! It's a great way to teach probability and the students love it. I've been using it nearly every year since I was introduced to it through a program called the Mathline Middle School Math Project, sponsored by PBS (back in 1997?). I was involved in the program through my graduate studies at Allentown College of Saint Francis DeSales (now DeSales University). Anyway, this year, my student teacher is teaching our probability lessons; so she is the one who taught this lesson.
This is how the lesson works: 1. Students use a piece of paper as their "game board" and number the paper from 122 (or 212) . They then place 15 chips next to the numbers. They are told that they can place one chip next to every number and then place the extras next to any number they want. Or, they can leave some numbers with no chips and put several on others. Usually, they place the chips like those in the picture to the right. 2. Once students have their chips set up, the teacher rolls 2 dice and finds the sum of the numbers that are rolled.
3. If students have a chip next to that sum, the students may remove ONE chip from their paper (thus the name of the game Remove One).
4. Play continues, with the teacher rolling the dice and the students removing one chip each time the corresponding sum is rolled. The "winner" is the student who removes all of the chips first.
Without much class discussion, we play the game a second time. Normally, I just ask them to make some quiet observations to themselves before placing their chips again. Students typically notice that the sums of 6, 7, and 8 are rolled the most often and that 2 and 12 are usually rolled the least often, so they arrange their chips differently.
After the second game, we have a discussion about all of the possible outcomes (sums) one can get when rolling 2 dice. We also discuss how many ways there are to roll each of those outcomes, and what the probability is of rolling each sum. We find this probability in fraction form, and then often convert them to decimals and percents.
After this discussion, we play the game for a third time, and students' "game boards" often look a bit different!
This year, since I was observing rather than teaching, I was better able to hear some of the students' quiet comments to each other... "There's a better chance of getting a seven." "I'm not going to put any on 2, because it still hasn't come up."
When I started discussing this lesson with my student teacher, I searched for the lesson online, just in case it was around, and I found it right away. Click HERE to see the full lesson plan from PBS. Have you played this game? What other probability games do your students enjoy?
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